In online FPS games, you can get kills, and you can be killed. You are commonly scored by the ratio of your kills to deaths, simply known as "K/D". It is commonly accepted that the average K/D is $1.000$, ignoring suicides.
I'm not sure that is exactly true however given some observations.
For example...
Given two players $A$ and $B$. If $A$ has $600$ kills and $400$ deaths with a $\frac{K}{D}$ of $1.500$. $B$ therefore has $400$ kills and $600$ deaths with a $\frac{K}{D}$ of $0.667$.
The average of $1.500$ and $0.667$ is $1.083$, not $1.000$. Not only that, but it $1.500$ is $0.500$ more than $1.000$, and $0.667$ is only $0.333$ less than $1.000$. Dying appears to affect the K/D less.
My questions are...
- Given a large amount of equally skilled players, is the K/D really expected to be 1.000?
- Will this change if there are more skilled players than less skilled players and vice versa?
You can assume every kill results in a death, and every death is the result of a kill. "Skilled" refers to a player being more likely to get a K/D of above 1.000. I'm not looking for some specific value, rather just if the global K/D average is expected to be equal to, less than, or greater than $1.000$.